However, she suggested that photographs of her new granddaughter would be a possibility.

"I think you're just going to have to wait and see and tune in, because I'm not sure exactly what's going to happen," she said.

"I won't tell you it won't happen. I'll give you a little something to think about. You never know who's going to show up."

When Lauer jokingly asked at the end of the interview when the baby photos will be revealed on her show, Jenner replied: "Oh, I don't know, I don't know. You'll have to keep tuning in, day after day!"

Jenner - who named Kathie Lee Gifford, Ryan Seacrest, Diddy, Mario Lopez, Maria Menounos and NeNe Leakes as some of her upcoming co-hosts - also suggested that the show will deal with the daily events of her family's lives.

"What you have to remember is our show Keeping Up [with the Kardashians] is 44 minutes without commercials and you see stuff that's been maybe a couple months ago, a month ago," she said. "We're in the middle of taping season eight right now.

"My show is going to be ultimately day by day. You're going to hear from us, what's going on right now, very fresh in the moment. And there really hasn't been a discussion about a line [that can't be crossed]."